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Simplifying 5(8y + -8) + -1(4y + 7) = 0 Reorder the terms: 5(-8 + 8y) + -1(4y + 7) = 0 (-8 * 5 + 8y * 5) + -1(4y + 7) = 0 (-40 + 40y) + -1(4y + 7) = 0 Reorder the terms: -40 + 40y + -1(7 + 4y) = 0 -40 + 40y + (7 * -1 + 4y * -1) = 0 -40 + 40y + (-7 + -4y) = 0 Reorder the terms: -40 + -7 + 40y + -4y = 0 Combine like terms: -40 + -7 = -47 -47 + 40y + -4y = 0 Combine like terms: 40y + -4y = 36y -47 + 36y = 0 Solving -47 + 36y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 36y = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 36y = 0 + 47 36y = 0 + 47 Combine like terms: 0 + 47 = 47 36y = 47 Divide each side by '36'. y = 1.305555556 Simplifying y = 1.305555556
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